Finding the Third Proportional to 33,046 and 72,110

Step by Step Solution

1. Step 1: Write the proportion equation
   33,046 : 72,110 = 72,110 : x
2. Step 2: Convert to fraction form
   33,046/72,110 = 72,110/x
3. Step 3: Cross multiply
   33,046x = 72,110 × 72,110
4. Step 4: Simplify right side
   33,046x = 5,199,852,100
5. Step 5: Solve for x
   x = 5,199,852,100/33,046
6. Step 6: Final answer
   x = 157,351.94